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42220240320 = 2635131933343
BaseRepresentation
bin100111010100100001…
…011011110111000000
311000222101211102122110
4213110201123313000
51142431340142240
631221250135320
73023154056436
oct472441336700
9130871742573
1042220240320
11169a62524a5
128223581540
133c9b04c82b
1420873d6d56
1511718a0c80
hex9d485bdc0

42220240320 has 112 divisors (see below), whose sum is σ = 134154915840. Its totient is φ = 11249857536.

The previous prime is 42220240313. The next prime is 42220240331. The reversal of 42220240320 is 2304202224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249569 + ... + 1282911.

Almost surely, 242220240320 is an apocalyptic number.

42220240320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42220240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67077457920).

42220240320 is an abundant number, since it is smaller than the sum of its proper divisors (91934675520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42220240320 is a wasteful number, since it uses less digits than its factorization.

42220240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34682 (or 34672 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 42220240320 its reverse (2304202224), we get a palindrome (44524442544).

The spelling of 42220240320 in words is "forty-two billion, two hundred twenty million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1319 2638 3957 5276 6595 7914 10552 13190 15828 19785 21104 26380 31656 33343 39570 42208 52760 63312 66686 79140 84416 100029 105520 126624 133372 158280 166715 200058 211040 253248 266744 316560 333430 400116 422080 500145 533488 633120 666860 800232 1000290 1066976 1266240 1333720 1600464 2000580 2133952 2667440 3200928 4001160 5334880 6401856 8002320 10669760 16004640 32009280 43979417 87958834 131938251 175917668 219897085 263876502 351835336 439794170 527753004 659691255 703670672 879588340 1055506008 1319382510 1407341344 1759176680 2111012016 2638765020 2814682688 3518353360 4222024032 5277530040 7036706720 8444048064 10555060080 14073413440 21110120160 42220240320